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What is the Least Common Multiple of 25288 and 25295?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 25288 and 25295 is 639659960.

LCM(25288,25295) = 639659960

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Least Common Multiple of 25288 and 25295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25288 and 25295, than apply into the LCM equation.

GCF(25288,25295) = 1
LCM(25288,25295) = ( 25288 × 25295) / 1
LCM(25288,25295) = 639659960 / 1
LCM(25288,25295) = 639659960

Least Common Multiple (LCM) of 25288 and 25295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25288 and 25295. First we will calculate the prime factors of 25288 and 25295.

Prime Factorization of 25288

Prime factors of 25288 are 2, 29, 109. Prime factorization of 25288 in exponential form is:

25288 = 23 × 291 × 1091

Prime Factorization of 25295

Prime factors of 25295 are 5, 5059. Prime factorization of 25295 in exponential form is:

25295 = 51 × 50591

Now multiplying the highest exponent prime factors to calculate the LCM of 25288 and 25295.

LCM(25288,25295) = 23 × 291 × 1091 × 51 × 50591
LCM(25288,25295) = 639659960